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Finding the Fourth Proportional to 10,664.58, 14,715.84 and 5,948.58

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Solution

The fourth proportional to 10,664.58, 14,715.84 and 5,948.58 is: 8,208.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,664.58 : 14,715.84 = 5,948.58 : x
  2. Step 2: Convert to fraction form
    10,664.58/14,715.84 = 5,948.58/x
  3. Step 3: Cross multiply
    10,664.58x = 14,715.84 × 5,948.58
  4. Step 4: Simplify right side
    10,664.58x = 87,538,351.51
  5. Step 5: Solve for x
    x = 87,538,351.51/10,664.58
  6. Step 6: Final answer
    x = 8,208.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.